Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 2, Pages 66–68 (Mi vmumm143)  
This article is cited in 3 scientific papers (total in 3 papers)

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Establishing experiments in tensor nonlinear theories of continuum mechanics

D. V. Georgievskii

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (247 kB) Citations (3)
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Abstract: A principal scheme of the establishing experiments for finding three material functions of tensor nonlinear constitutive relations in continuum mechanics is described. These material functions are the functions of three invariants of stress state. It is proposed to use the long cylindrical hollow rods for which one can implement any combination of the following realizable in experiments basic stress states: uniaxial extension, torsion, longitudinal shear, compression.
Key words: constitutive relation, material function, establishing experiment, tensor nonlinearity, invariant, extension, torsion, shear, compression.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00848а
Received: 27.07.2015
English version:
Moscow University Mechanics Bulletin, 2016, Volume 71, Issue 2, Pages 49–50
DOI: https://doi.org/10.3103/S0027133016020060
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: D. V. Georgievskii, “Establishing experiments in tensor nonlinear theories of continuum mechanics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 2, 66–68; Moscow University Mechanics Bulletin, 71:2 (2016), 49–50
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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